(02.02)Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comm
a 2 and negative 1 comma 2. The line segment is reflected about the x-axis to form E'F'. Which statement describes E'F'? E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF. E'F' and EF are perpendicular.
2 answers:
Answer:
E'F' and EF are equal in length
Step-by-step explanation:
we have
The coordinates of point E(-3,2) and F(-1,2)
we know that
The rule of the reflection across the x-axis is
(x,y) ------> (x,-y)
so
Applying the rule of reflection across the x-axis
E(-3,2) -------> E'(-3,-2)
F(-1,2) --------> F'(-1,-2)
using a graphing tool
see the attached figure to better understand the problem
therefore
E'F' and EF are equal in length
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